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The answer depends on what you mean by a "real root". A root does not have to mean the bit of a plant that is usually underground finding nutrients.

A root can also mean the origin or basis. For example, roots of words, or a person's cultural or ethnic roots.


A square root is the starting point from which the squared value is reached. So, in saying that the square root of 36 is 6, the implication is that 6 is the root or the basis and starting from there, squaring it, gives 36.

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Q: Is a square root a real root of an algebraic expression?
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What is the square root of Paris?

Paris is not a numerical value of algebraic expression and so does not have a square root.


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The square root of 41 is an irrational , algebraic, real number. It is real, is the root of an polynomial equation with integer coefficients, but can not be expressed as a ratio of integers.


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The square root of 6 is an irrational number. It is also an algebraic number, a quadratic surd, an algebraic integer, a constructible number, and a computable number.


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A square root is a mathematical function whose argument must be a number - or an expression that can be evaluated so as to give a number. Since Scotland is neither a number nor an algebraic expression, the question makes no sense.


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The square root method:If u is an algebraic expression and d is a positive real number, then u^2 = d has exactly two solutions:If u^2 = d, then u = √d or u = - √dEquivalently,If u^2 = d, then u = ±√d


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It means that it is not algebraic... that is, it is not the root of a polynomial expression with rational coefficients.There are infinitely more transcendental numbers than algebraic numbers, but only a few are of any practical importance... most prominently pi and e, the base of the natural logarithms.All (real) transcendental numbers are irrational, but not all irrational numbers are transcendental. For example, the square root of two is irrational, but it is not transcendental as it is a root of the equation x2 - 2 = 0, a polynomial expression with rational coefficients.


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Simplify the expression 3 square root 12 plus 4 square root 3?

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